Details

sample332.0ms

Algorithm

intervals

Results

123.0ms	103×	body	1280	valid
40.0ms	51×	body	640	valid
39.0ms	32×	body	10240	exit
24.0ms	24×	body	1280	nan
21.0ms	30×	body	640	nan
20.0ms	136×	body	80	valid
17.0ms	156×	body	80	nan
17.0ms	37×	body	320	valid
5.0ms	12×	body	320	nan
3.0ms	9×	body	160	valid
2.0ms	7×	body	160	nan

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
6	2681
5	735
4	218
3	82
2	34
1	17
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.2b

localize21.0ms

Local error

Found 3 expressions with local error:

1.0b	(pow x (/ 1 n))
1.3b	(pow (+ x 1) (/ 1 n))
1.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
26×	`pow-unpow`
19×	`add-cube-cbrt`
18×	`times-frac`
17×	`unpow-prod-down`
9×	`difference-of-squares`
8×	`sqr-pow`
5×	`pow1` `add-exp-log` `add-log-exp`
3×	`add-cbrt-cube` `insert-posit16` `distribute-lft-out--`
2×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 82

Calls

3 calls:

6.0ms	(pow x (/ 1 n))
12.0ms	(pow (+ x 1) (/ 1 n))
56.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

series373.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(pow x (/ 1 n))
88.0ms	(pow (+ x 1) (/ 1 n))
220.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify2.6s

Counts

91 → 91

Iterations

Iter	Nodes
3	3490
2	1217
1	467
0	176

prune466.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 19.3b

localize41.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow x (/ 1 n))
1.3b	(pow (+ x 1) (/ 1 n))
1.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.4b	(log (exp (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
27×	`unpow-prod-down`
26×	`pow-unpow`
22×	`add-cube-cbrt`
18×	`times-frac` `difference-of-squares`
16×	`log-pow`
15×	`exp-prod`
14×	`sqr-pow`
7×	`pow1`
6×	`add-exp-log` `distribute-lft-out--` `add-log-exp`
5×	`log-prod`
4×	`add-cbrt-cube` `insert-posit16`
3×	`distribute-lft-out`
2×	`pow-to-exp` `sub-neg` `pow-pow` `exp-sum` `pow-exp` `div-inv`
1×	`log-div` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `flip--`

Counts

4 → 113

Calls

4 calls:

3.0ms	(pow x (/ 1 n))
13.0ms	(pow (+ x 1) (/ 1 n))
67.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
123.0ms	(log (exp (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))

series664.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(pow x (/ 1 n))
110.0ms	(pow (+ x 1) (/ 1 n))
250.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
238.0ms	(log (exp (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))

simplify3.0s

Counts

125 → 125

Iterations

Iter	Nodes
3	3817
2	1353
1	550
0	222

prune748.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 19.3b

localize71.0ms

Local error

Found 4 expressions with local error:

1.3b	(pow (+ x 1) (/ 1 n))
1.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
34×	`unpow-prod-down`
27×	`difference-of-squares`
19×	`sqr-pow`
13×	`pow-unpow`
12×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`times-frac` `distribute-lft-out--`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `distribute-lft-out`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
1×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv`

Counts

4 → 104

Calls

4 calls:

12.0ms	(pow (+ x 1) (/ 1 n))
69.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
61.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
96.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

series894.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(pow (+ x 1) (/ 1 n))
225.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
288.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
254.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify1.2s

Counts

116 → 116

Iterations

Iter	Nodes
3	2322
2	831
1	347
0	136

prune962.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 19.3b

localize86.0ms

Local error

Found 4 expressions with local error:

1.3b	(pow (+ x 1) (/ 1 n))
1.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.4b	(log (/ (exp (pow (+ x 1) (/ 1 n))) (exp (pow x (/ 1 n)))))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
28×	`unpow-prod-down`
19×	`add-cube-cbrt`
18×	`times-frac` `difference-of-squares`
13×	`pow-unpow` `log-prod` `sqr-pow`
8×	`add-log-exp`
6×	`pow1` `exp-prod` `add-exp-log` `distribute-lft-out--`
4×	`add-cbrt-cube` `log-pow` `insert-posit16` `distribute-lft-out`
3×	`pow-div`
2×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `div-inv` `flip--`
1×	`pow-to-exp` `log-div` `pow-pow` `div-exp` `pow-exp`

Counts

4 → 107

Calls

4 calls:

14.0ms	(pow (+ x 1) (/ 1 n))
65.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
49.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
37.0ms	(log (/ (exp (pow (+ x 1) (/ 1 n))) (exp (pow x (/ 1 n)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

141.0ms	(pow (+ x 1) (/ 1 n))
287.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
270.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
367.0ms	(log (/ (exp (pow (+ x 1) (/ 1 n))) (exp (pow x (/ 1 n)))))

simplify1.4s

Counts

119 → 119

Iterations

Iter	Nodes
3	2659
2	1037
1	473
0	201

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 19.3b

regimes492.0ms

Accuracy

84.5% (1.4b remaining)

Error of 21.4b against oracle of 20.0b and baseline of 28.9b

bsearch388.0ms

Steps

Iters	Range		Point
8	0.00249723671336719	0.9376093183107279	0.9292141684675859
9	-6472449387759.926	-7016528.6044858415	-29869477.165418986

simplify11.0ms

Iterations

Iter	Nodes
2	49
1	49
0	38

end0.0ms

sample10.5s

Algorithm

intervals

Results

3.2s	3133×	body	1280	valid
1.6s	4634×	body	80	valid
1.4s	1119×	body	10240	exit
1.3s	1597×	body	640	valid
665.0ms	660×	body	1280	nan
650.0ms	4942×	body	80	nan
461.0ms	633×	body	640	nan
458.0ms	886×	body	320	valid
185.0ms	442×	body	160	valid
162.0ms	346×	body	320	nan
50.0ms	183×	body	160	nan